Molarity is a unit of concentration in chemistry. Molarity is typically used to measure the concentration of a solute in a solution. It is an important concept, as it is used to calculate the amount of a given substance, present in a solution.

Concentration measures how much of a substance is dissolved in a given amount of solvent. There are several units used to express concentration, including molarity, molality, normality, etc. Molarity, however, is one of the most commonly used and important units of concentration.

Outline

## Molarity

The number of moles of solute dissolved per liter of the solution is called the molarity of the solution.

### Formula

M = moles of solute/liters of solution

M = n/ (V in L)

M = (moles/molar mass)(1/liters of solution)

M = (n/M1)(1/V in L)

### Units

The molarity of one-mole solute dissolved in one one-liter solution is one molar (1M).

mol/L or mol/dm3 or M

(1 L  = 1 dm3 )

The SI unit is, however;

mol/m3

Example no. 1

20 grams of NaOH is dissolved in one liter of solution. Calculate the molarity of the solution.

Solution:

Mass of solute ( NaOH) = 20 g

Molar mass of NaOH = 40 g/mol

Volume of solution = 1  L

M =?

M = (n/M1)(1/V)

= (20/40)(1/1)

Molarity = 0.5 M

## Importance of Molarity

Molarity is the concentration unit and it is used to express the number of moles of solute dissolved per liter of the solution. Molarity is concerned with the volume of the solution. Therefore it is dependent upon pressure and temperature as volume changes with a change in these parameters.

Molarity is in greater use compared to normality because it is easier to calculate molar weight than equivalence weight.

### Relation with Molality

M = (1000ρm)/(1000+mM1)

where,

• M = Molarity
• ρ = Density of solution (g/cm3)
• m = Molality of solution
• M= Molar mass of solute

Example no. 2

Calculate the molarity of 2.09 molal HCl solution having a density of 1.03 g/cm3.

Given:

Molality = m = 2.09 m

Density = ρ = 1.03 g/cm

Molar mass of HCl = M= 36.5 g/mol

Solution:

M =?

M = (1000ρm)/(1000+mM1)

M = 1000(1.03)(2.09)/1000+(2.09)(36.5)

Molarity = 2 M

Example no. 3

Calculate the molarity of 3.17 molal NaCl solution with a density of 1.12 g/cm3.

Given:

Molality = m = 3.17 m

Density = ρ = 1.12 g/cm

Molar mass of NaCl = M= 58.5 g/mol

Solution:

M = (1000ρm)/(1000+mM1)

M = 1000(1.12)(3.17)/1000+(3.17)(58.5)

Molarity = 3 M

Related content

## Molarity vs. Molality

 Molarity Molality The number of moles of solute dissolved per liter of a solution The number of moles of solute dissolved per kilogram of a solvent It is symbolized as M It is symbolized as m It is dependent on changes in temperature and pressure It is independent of changes in temperature and pressure M = moles / liters of solution m = moles / kg of solvent One molar solution is a solution with one mole of solute dissolved in enough solvent to make up one liter solution One molal solution is a solution with one mole of solute dissolved in a one kilogram solvent M = (1000ρm) / (1000+mM1) 1/m = (ρ/M) – (M1/1000) Its unit is mol/L or mol/dm3 or M Its unit is mol/kg or m

## Dilution Formula of Molarity

The dilution formula is used to make the solution of desired molarity from the stock solution.

M1V= M2V2

where,

• M= Molarity of stock solution
• V= Volume used from the stock solution
• M= Desired molarity
• V2 = Desired volume

## Molarity from Percentage Purity

Molarity = (%purity)(density)(10)/molar mass

Example no. 4

The density of 98%-pure sulphuric acid is 1.84 g/mL. Calculate molarity.

Given:

Density = 1.84 g/mL

%purity = 98 %

Molar mass of H2SO= 98 g/mol

Solution:

M = (%purity)(density)(10)/molar mass

M = (98)(1.84)(10)/98

Molarity = 18.4 M

## Molarity and Normality

Normality = M × basicity

or

Normality = M × acidity

N = M × n

where,

• n= Basicity or Acidity

If n= 1 then,

N = M

The basicity of an acid is the number of Hproduced by an acid in an aqueous solution. e.g basicity of HCl is 1 and H2SO4 is 2.

The acidity of a base is the number of OH– produced by a base in an aqueous solution. e.g acidity of NaOH is 1 and Ba(OH)is 2.

Strength = M × mol. wt = N × eq.wt

Example no. 5

Calculate the normality of the 18.4 M sulphuric acid solution.

Solution:

M = 18.4

n for H2SO= 2

N = M × n

N = 18.4 (2)

Normality = 36.8 N

## Concepts Berg

How do I calculate the normality of an acid or base from its molarity?

N = M × n

∴ (n = Basicity or Acidity)

For example, the normality of 18.4 M H2SO4;

M = 18.4

n for H2SO= 2

N = M × n

N = 18.4  × 2

Normality = 36.8 N

What is the equation used for molarity conversion?

The dilution formula is used for conversion.

M1V= M2V2

How many molecules can be found in a reaction?

This depends on the type of reaction and the reactants involved. Generally speaking, a reaction involves two or more reactants, which can form one or more products. Therefore, the number of molecules in a reaction can range from two to potentially millions.

Is solubility = molarity = molality?

No, solubility, molarity, and molality are different measurements. Solubility is the maximum amount of a substance dissolved in a given solvent. Molarity is the number of moles of a solute per liter of a solution, and molality is the number of moles of a solute per kilogram of a solvent.

How do you make a 0.1 M solution?

To make a 0.1 M solution, you must dissolve 0.1 moles of the solute in enough solvent to make one liter of solution. For example, if your solute is sodium chloride, you would weigh out 0.1 moles of sodium chloride (5.85 g) and dissolve it in 1 liter of distilled water.

What units are of molarity?

mol/L or mol/dm3 or M

The molarity of one-mole solute dissolved in one one-liter solution is one molar (1M).

The SI unit is mol/m3.

What is the basic formula of molarity?

M = moles of solute/liters of solution

References Books

• Engineering Chemistry By A.K. Pahari, B.S. Chauhan
• General, Organic, and Biological Chemistry By H. Stephen Stoker